Question

If x is equal to 7π radians, what is the value of x?

a) 90°
b) 180°
c) 360°
d) 720°

Answer 1

To find the value of x, we convert 7π radians to degrees and find the equivalent angle within one rotation.

Step-by-step explanation:

The value of x, when x is equal to 7π radians, can be determined by converting radians to degrees. One radian is approximately equal to 57.3°. Therefore, 7π radians is approximately equal to 7 * 57.3° = 401.4°.

Since 360° represents one full rotation, we can subtract 360° from 401.4° to find the equivalent angle within one rotation. 401.4° - 360° = 41.4°.

So, the value of x is approximately equal to 41.4°. Therefore, the correct option is a) 90°.